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How are the sss similarity theorem and the sss congruence postulate alike?

The SSS (Side-Side-Side) similarity theorem and the SSS congruence postulate both involve the comparison of the lengths of sides of triangles. While the SSS similarity theorem states that if the three sides of one triangle are proportional to the three sides of another triangle, the triangles are similar, the SSS congruence postulate asserts that if the three sides of one triangle are equal to the three sides of another triangle, the triangles are congruent. Thus, both concepts rely on the relationship between side lengths, but they differ in the conditions of similarity versus congruence.


What is SSS?

If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.


What is triangular theorem SSS?

If three sides of one triangle are congruent tothree sides of a second triangle, then the three triangles are congruent.


What is the meaning of sss in math?

In mathematics, "SSS" typically refers to the Side-Side-Side theorem, which is a criterion used to determine the congruence of triangles. According to this theorem, if three sides of one triangle are equal in length to three sides of another triangle, then the two triangles are congruent. This means that they have the same shape and size, although their positions may differ. The SSS criterion is fundamental in geometry for proving triangle congruence.


What else would need to be congruent to show that triangle abc is congruent to triangle pqr by sss?

To show that triangle ABC is congruent to triangle PQR by the SSS (Side-Side-Side) postulate, all three corresponding sides must be congruent. This means that side AB must equal side PQ, side BC must equal side QR, and side CA must equal side RP. If all corresponding sides are confirmed to be equal in length, then the triangles are congruent by SSS.

Related Questions

If 3 sides of one triangle are directly proportional to 3 sides of a second triangle then the triangles are similar?

SSS Similarity, SSS Similarity Theorem, SSS Similarity Postulate


what- the image of a triangle after a translation is shown. fill in the blank with a congruence postulate. use SSS?

SSS


What is SSS?

If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.


In the SSS statement all three sides of one triangle are equal to the three sides of another triangle?

true


What else would you to need to show triangle efg congruent to triangle hij by sss?

D). Eg = hj


Can you use the SSS postulate or the SAS postulate to prove triangle ABC and triangle AED are congruent?

Blah blah blah


What is triangular theorem SSS?

If three sides of one triangle are congruent tothree sides of a second triangle, then the three triangles are congruent.


The SSS Postulate states that if the sides of one triangle are congruent to the sides of a second triangle then the triangles are congruent?

Yes, it does.


What is the aaa and the sss postulate theorem?

There is no AAA theorem since it is not true. SSS is, in fact a theorem, not a postulate. It states that if the three sides of one triangle are equal in magnitude to the corresponding three sides of another triangle, then the two triangles are congruent.


What is the AAA theorem and the SSS postulate?

There is no AAA theorem since it is not true. SSS is, in fact a theorem, not a postulate. It states that if the three sides of one triangle are equal in magnitude to the corresponding three sides of another triangle, then the two triangles are congruent.


What is the sss criterion?

The SSS criterion stands for side-side-side and is a rule used to determine if two triangles are congruent. This means that if the three sides of one triangle are equal in length to the three sides of another triangle, then the triangles are congruent.


What is the meaning of sss in math?

In mathematics, "SSS" typically refers to the Side-Side-Side theorem, which is a criterion used to determine the congruence of triangles. According to this theorem, if three sides of one triangle are equal in length to three sides of another triangle, then the two triangles are congruent. This means that they have the same shape and size, although their positions may differ. The SSS criterion is fundamental in geometry for proving triangle congruence.